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Finding the Third Proportional to 133,906 and 183,614

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Solution

The third proportional to 133,906 and 183,614 is: 251,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906 : 183,614 = 183,614 : x
  2. Step 2: Convert to fraction form
    133,906/183,614 = 183,614/x
  3. Step 3: Cross multiply
    133,906x = 183,614 × 183,614
  4. Step 4: Simplify right side
    133,906x = 33,714,100,996
  5. Step 5: Solve for x
    x = 33,714,100,996/133,906
  6. Step 6: Final answer
    x = 251,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.